Home / 4,208-7,712

Finding the Third Proportional to 4,208 and 7,712

Calculator

Solution

The third proportional to 4,208 and 7,712 is: 14,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208 : 7,712 = 7,712 : x
  2. Step 2: Convert to fraction form
    4,208/7,712 = 7,712/x
  3. Step 3: Cross multiply
    4,208x = 7,712 × 7,712
  4. Step 4: Simplify right side
    4,208x = 59,474,944
  5. Step 5: Solve for x
    x = 59,474,944/4,208
  6. Step 6: Final answer
    x = 14,133.78

Related Problems

Find third proportional to 2,104 and 3,856
Half scale
Find third proportional to 8,416 and 15,424
Double scale
Find third proportional to 4,210 and 7,716
Similar ratio
Find third proportional to 6,312 and 11,568
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.